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math.NT2011
A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields
Maurizio Monge
Let be a local field with finite residue field, we define a normal form for Eisenstein polynomials depending on the choice of a uniformizer and of residue representatives…
math.NT2011
A characterization of Eisenstein polynomials generating cyclic extensions of degree and over an unramified $\kp$-adic field
Maurizio Monge
Let be a prime. We show a technique based on local class field theory and on the expansions of certain resultants which allows to recover very easily Lbekkouri's character…
math.GR2011
Answer to a question on -groups, arisen from the study of Steinitz classes
Alessandro Cobbe, Maurizio Monge
In this short note we answer to a question of group theory from arXiv:0910.5080. In that paper the author describes the set of realizable Steinitz classes for so-called -groups…